IR and dc magneto-transport and ARPES compared: p-type cuprates

We report IR Hall Effect measurements in the terahertz (THz) spectral region on optimally doped $Bi_2 Sr_2 Ca Cu_2 O_{8+x}$ (BSCCO) single crystals and in $La_{2-x}Sr_{x}CuO_{4}$ (LSCO) films as a function of doping ranging from 7\% to 16.5\%. Critical comparisons between the dc Hall coefficient $R_H$ and Hall angle $\theta_H$, the IR $R_H$ and $\theta_H$, and the values predicted by ARPES analyzed within the relaxation time approximation will be discussed. In optimally doped BSCCO, the temperature power law associated with the off-diagonal conductivity at frequencies up to 10 meV deviates strongly from that of the longitudinal conductivity, and the IR Hall response is significantly larger than that expected based upon ARPES results. Analysis of dc $R_H$ measurements and ARPES results show a significant anomalous Hall effect $\sim$100K even in severely overdoped Tl-2201. In LSCO, a rapid decrease of the Hall mass with underdoping, a hallmark signature of Fermi surface reconstruction, is shown to strongly deviate from that predicted by the ARPES measured Fermi arcs. These results will be discussed in terms of Fermi surface models. [G. S. Jenkins \emph{et al.}, arXiv:0901.1701.]